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erastova [34]
3 years ago
9

Lengths in circles! Please get it right

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

12 inches

Step-by-step explanation:

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The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the
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Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

  • 38,430 is the population if t is an exponent
  • 146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

P(t) = 27,400(1.07)t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590


Or if the equation is supposed to have t as an exponent then look below:

P(t) = 27,400(1.07)^t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430

This formula is based off the standard formula A=A_0(1+r)^t so r, the rate is 1.07=1+0.07 so r is 7%.

A_0 is the starting population which is 27,400 here.

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In a circle with a 8 in radius, how long, in inches, is an arc associated with 2.6 radians.
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S = r·α is the formula to find the arc length (s), given the radius (r), and angle measure (α) in radians.
If the angle measure is NOT given in radians you must convert to radians.

s = 8 · 2.6
s = 20.8 in
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